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Finding the Fourth Proportional to 31,774.20, 47,618.10 and 21,214.20

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Solution

The fourth proportional to 31,774.20, 47,618.10 and 21,214.20 is: 31,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.20 : 47,618.10 = 21,214.20 : x
  2. Step 2: Convert to fraction form
    31,774.20/47,618.10 = 21,214.20/x
  3. Step 3: Cross multiply
    31,774.20x = 47,618.10 × 21,214.20
  4. Step 4: Simplify right side
    31,774.20x = 1,010,179,897.02
  5. Step 5: Solve for x
    x = 1,010,179,897.02/31,774.20
  6. Step 6: Final answer
    x = 31,792.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.